Forbes contributors publish independent expert analyses and insights. The Universe is out there, waiting for you to discover it. The greatest scientific legacy that Albert Einstein left us is this: ...

The notion of spectral invariance of a locally convex *-algebra is defined by constructing the enveloping C*-algebra and is characterized. It is shown that the spectral invariance induces K-theory ...

Shift-invariant spaces form a fundamental class of function spaces where elements can be represented as linear combinations of translates of one or more generating functions. This concept is pivotal ...

A group of mathematicians has shown that at critical moments, a symmetry called rotational invariance is a universal property across many physical systems. For more than 50 years, mathematicians have ...

An unfashionable nineteenth century technique, invariant theory, has recently been used to study error-correcting codes. This technique is potentially of much wider application, is very powerful, ...

We are at a critical time and supporting climate journalism is more important than ever. Science News and our parent organization, the Society for Science, need your help to strengthen environmental ...